Multigrid solution of the nonlinear PDEs arising in elastic image registration with application to a group of monomodal images

Noppadol Chumchoba,*, Sopida Jewpraserta, Chantana Chantrapornchaib

ABSTRACT: This work addresses an important and yet outstanding issue for the numerical solution of the nonlinear partial differential equations arising in elastic image registration. We present an efficient multigrid method using local Fourier analysis and, in particular, its application to register a group of monomodal images. We demonstrate that the proposed multigrid method is fast, accurate, and reliable in delivering visually-pleasing registration results.